Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 133 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14579192 | C2 | semidirect |
| 3. C2×#14579150 | C2 | semidirect |
| 4. #19099031 | C2 | semidirect |
| 5. #19098788 | C2 | semidirect |
| 6. #19098781 | C2 | semidirect |
| 7. #19098586 | C2 | semidirect |
| 8. #19098567 | C2 | semidirect |
| 9. #419×C79 | C2 | semidirect |
| 14. C2×#11929614 | C22 | semidirect |
| 16. C2×#11929611 | C22 | semidirect |
| 22. #14579126 | C22 | semidirect |
| 23. #14579123 | C22 | semidirect |
| 29. Dic79⋊C8 | C22 | semidirect |
| 34. #103×C79 | C22 | semidirect |
| 126. C79 | #3040 | semidirect |
| 134. #419 | D79 | semidirect |
| 159. #103 | C2×D79 | semidirect |